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Finding the Fourth Proportional to 3,197.95, 4,774.09 and 2,705.74

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Solution

The fourth proportional to 3,197.95, 4,774.09 and 2,705.74 is: 4,039.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.95 : 4,774.09 = 2,705.74 : x
  2. Step 2: Convert to fraction form
    3,197.95/4,774.09 = 2,705.74/x
  3. Step 3: Cross multiply
    3,197.95x = 4,774.09 × 2,705.74
  4. Step 4: Simplify right side
    3,197.95x = 12,917,446.28
  5. Step 5: Solve for x
    x = 12,917,446.28/3,197.95
  6. Step 6: Final answer
    x = 4,039.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.